Self-dual 6d 2-form fields coupled to non-abelian gauge field: quantum corrections

Abstract

We study a 6d model of a set of self-dual 2-form $B$-fields interacting with a non-abelian vector $A$-field which is restricted to a 5d subspace. One motivation is that if the gauge vector could be expressed in terms of the $B$-field or integrated out, this model could lead to an interacting theory of $B$-fields only. Treating the 5d gauge vector as a background field, we compute the divergent part of the corresponding one-loop effective action which has the $(DF{)}^2+F^3$ structure and compare it with similar contributions from other 6d fields. We also discuss a 4d analog of the non-abelian self-dual model, which turns out to be UV finite.

25 pages; v2: minor corrections, references added; v3: typos fixed, published version

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Cited by in corpus (10)

• Self-dual forms: Action, Hamiltonian and Compactification
• On Covariant Actions for Chiral $p-$Forms
• Self-interacting chiral p-forms in higher dimensions
• Geometrical Aspects of An Abelian (2,0) Action
• One-loop beta-functions in 4-derivative gauge theory in 6 dimensions
• Lessons from M2's and Hopes for M5's
• $\mathcal{N}=(1,0)$ Anomaly Multiplet Relations in Six Dimensions
• On the component structure of one-loop effective actions in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ supersymmetric gauge theories
• Towards a tensionless string field theory for the N=(2,0) CFT in d=6
• Dual Conformal Symmetry and Iterative Integrals in Six Dimensions